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Finding the Third Proportional to 100,980 and 212,608

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Solution

The third proportional to 100,980 and 212,608 is: 447,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,980 : 212,608 = 212,608 : x
  2. Step 2: Convert to fraction form
    100,980/212,608 = 212,608/x
  3. Step 3: Cross multiply
    100,980x = 212,608 × 212,608
  4. Step 4: Simplify right side
    100,980x = 45,202,161,664
  5. Step 5: Solve for x
    x = 45,202,161,664/100,980
  6. Step 6: Final answer
    x = 447,634.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.